{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Customizing Colorbars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot legends identify discrete labels of discrete points.\n",
    "For continuous labels based on the color of points, lines, or regions, a labeled colorbar can be a great tool.\n",
    "In Matplotlib, a colorbar is a separate axes that can provide a key for the meaning of colors in a plot.\n",
    "Because the book is printed in black-and-white, this section has an accompanying online supplement where you can view the figures in full color (https://github.com/jakevdp/PythonDataScienceHandbook).\n",
    "We'll start by setting up the notebook for plotting and importing the functions we will use:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('classic')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we have seen several times throughout this section, the simplest colorbar can be created with the ``plt.colorbar`` function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FZ5/owSNvdCmFPHQ9YDpvqIU+FVL+kIF8e0O5wmoEbN6azEGdjVYTzySAr9GiszZ5h50D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\nXGWVVVYBsJLhKqussgoA4P8DEtyeTLM6iHgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa20a52fba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 10, 1000)\n",
    "I = np.sin(x) * np.cos(x[:, np.newaxis])\n",
    "\n",
    "plt.imshow(I)\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll now discuss a few ideas for customizing these colorbars and using them effectively in various situations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Customizing Colorbars\n",
    "\n",
    "The colormap can be specified using the ``cmap`` argument to the plotting function that is creating the visualization:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4PPiZWGY8T2UOLDwQ1SrJy9uOSCoyqeY/tLysYKK8zhsD5/8nWNWLltflOzMI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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa207253a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(I, cmap='gray');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All the available colormaps are in the ``plt.cm`` namespace; using IPython's tab-completion will give you a full list of built-in possibilities:\n",
    "```\n",
    "plt.cm.<TAB>\n",
    "```\n",
    "But being *able* to choose a colormap is just the first step: more important is how to *decide* among the possibilities!\n",
    "The choice turns out to be much more subtle than you might initially expect."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choosing the Colormap\n",
    "\n",
    "A full treatment of color choice within visualization is beyond the scope of this book, but for entertaining reading on this subject and others, see the article [\"Ten Simple Rules for Better Figures\"](http://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1003833).\n",
    "Matplotlib's online documentation also has an [interesting discussion](http://Matplotlib.org/1.4.1/users/colormaps.html) of colormap choice.\n",
    "\n",
    "Broadly, you should be aware of three different categories of colormaps:\n",
    "\n",
    "- *Sequential colormaps*: These are made up of one continuous sequence of colors (e.g., ``binary`` or ``viridis``).\n",
    "- *Divergent colormaps*: These usually contain two distinct colors, which show positive and negative deviations from a mean (e.g., ``RdBu`` or ``PuOr``).\n",
    "- *Qualitative colormaps*: these mix colors with no particular sequence (e.g., ``rainbow`` or ``jet``).\n",
    "\n",
    "The ``jet`` colormap, which was the default in Matplotlib prior to version 2.0, is an example of a qualitative colormap.\n",
    "Its status as the default was quite unfortunate, because qualitative maps are often a poor choice for representing quantitative data.\n",
    "Among the problems is the fact that qualitative maps usually do not display any uniform progression in brightness as the scale increases.\n",
    "\n",
    "We can see this by converting the ``jet`` colorbar into black and white:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "\n",
    "def grayscale_cmap(cmap):\n",
    "    \"\"\"Return a grayscale version of the given colormap\"\"\"\n",
    "    cmap = plt.cm.get_cmap(cmap)\n",
    "    colors = cmap(np.arange(cmap.N))\n",
    "    \n",
    "    # convert RGBA to perceived grayscale luminance\n",
    "    # cf. http://alienryderflex.com/hsp.html\n",
    "    RGB_weight = [0.299, 0.587, 0.114]\n",
    "    luminance = np.sqrt(np.dot(colors[:, :3] ** 2, RGB_weight))\n",
    "    colors[:, :3] = luminance[:, np.newaxis]\n",
    "        \n",
    "    return LinearSegmentedColormap.from_list(cmap.name + \"_gray\", colors, cmap.N)\n",
    "    \n",
    "\n",
    "def view_colormap(cmap):\n",
    "    \"\"\"Plot a colormap with its grayscale equivalent\"\"\"\n",
    "    cmap = plt.cm.get_cmap(cmap)\n",
    "    colors = cmap(np.arange(cmap.N))\n",
    "    \n",
    "    cmap = grayscale_cmap(cmap)\n",
    "    grayscale = cmap(np.arange(cmap.N))\n",
    "    \n",
    "    fig, ax = plt.subplots(2, figsize=(6, 2),\n",
    "                           subplot_kw=dict(xticks=[], yticks=[]))\n",
    "    ax[0].imshow([colors], extent=[0, 10, 0, 1])\n",
    "    ax[1].imshow([grayscale], extent=[0, 10, 0, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa239795d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('jet')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice the bright stripes in the grayscale image.\n",
    "Even in full color, this uneven brightness means that the eye will be drawn to certain portions of the color range, which will potentially emphasize unimportant parts of the dataset.\n",
    "It's better to use a colormap such as ``viridis`` (the default as of Matplotlib 2.0), which is specifically constructed to have an even brightness variation across the range.\n",
    "Thus it not only plays well with our color perception, but also will translate well to grayscale printing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa2079bf550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('viridis')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you favor rainbow schemes, another good option for continuous data is the ``cubehelix`` colormap:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npgB1LC8AFBK6AIWELkAhoQtQSOgCFPofogzC0bvZDuIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa2079bdc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('cubehelix')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For other situations, such as showing positive and negative deviations from some mean, dual-color colorbars such as ``RdBu`` (*Red-Blue*) can be useful. However, as you can see in the following figure, it's important to note that the positive-negative information will be lost upon translation to grayscale!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nARIJXYBEQhcgkdAFSPQ/ynRYFMQzE9cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa2078759b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('RdBu')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll see examples of using some of these color maps as we continue.\n",
    "\n",
    "There are a large number of colormaps available in Matplotlib; to see a list of them, you can use IPython to explore the ``plt.cm`` submodule. For a more principled approach to colors in Python, you can refer to the tools and documentation within the Seaborn library (see [Visualization With Seaborn](04.14-Visualization-With-Seaborn.ipynb))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Color limits and extensions\n",
    "\n",
    "Matplotlib allows for a large range of colorbar customization.\n",
    "The colorbar itself is simply an instance of ``plt.Axes``, so all of the axes and tick formatting tricks we've learned are applicable.\n",
    "The colorbar has some interesting flexibility: for example, we can narrow the color limits and indicate the out-of-bounds values with a triangular arrow at the top and bottom by setting the ``extend`` property.\n",
    "This might come in handy, for example, if displaying an image that is subject to noise:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rL23nRSUeCghdeFa/MigjFIsoPwQxBuEGiIIQvCog/BBSCET6VeZ4sAziauim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E2MlO/n2NCeJ2P496pUwpg3gH7TOSVPZjsMCD5v5H7MmD0Xy29ZiBm7HIXlt15YuFY7rM8debig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SSGcK9wuSM/co67bIqOu+Y2lZ08bk4pKpRnOiok+iyVDKwlJi5lD/0VEJxeT+899xmQ/CKKoL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\niRIlSpQoUaIHlCSqRIkSJUqUKFGiB/wf+B27Q5ZzpPQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa207772780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# make noise in 1% of the image pixels\n",
    "speckles = (np.random.random(I.shape) < 0.01)\n",
    "I[speckles] = np.random.normal(0, 3, np.count_nonzero(speckles))\n",
    "\n",
    "plt.figure(figsize=(10, 3.5))\n",
    "\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.imshow(I, cmap='RdBu')\n",
    "plt.colorbar()\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.imshow(I, cmap='RdBu')\n",
    "plt.colorbar(extend='both')\n",
    "plt.clim(-1, 1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that in the left panel, the default color limits respond to the noisy pixels, and the range of the noise completely washes-out the pattern we are interested in.\n",
    "In the right panel, we manually set the color limits, and add extensions to indicate values which are above or below those limits.\n",
    "The result is a much more useful visualization of our data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Discrete Color Bars\n",
    "\n",
    "Colormaps are by default continuous, but sometimes you'd like to represent discrete values.\n",
    "The easiest way to do this is to use the ``plt.cm.get_cmap()`` function, and pass the name of a suitable colormap along with the number of desired bins:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jitGPyThsMJ7JsJE+Q1+ETEdwbS+1LepdSMk3+uhLhKH8XiEISvVfLzjvNKul\ncnWh9R2+gXFJhqGF0qQ9mz33VHJ1IVtbIU/5ochLDzElY/na590Hnelrc890k5vvhBd60tYhlXSa\nFNCVZFgmRFUImQqbB0Ml1yKyzSMxWyFP8aEQJGirQar3V772efdBF8QIpb27bj6boibZzehKMiwT\nIh8hcyHSUOSrakg2PrsmFl53NaPFBsACviVEfZGaS6SFHo0gwzo0ubwxuBBpqBnedofnonNtUGRC\np2pem2iDVSJm8KtFGDSCDEObCzbkKrSK8WiyCKJTSVcmwBTN6xThE+2uW7MdL2gEGYaGDbEJrUJH\noCECHSpiC77OXLYNUPgQoA8phNJCfYJZtt+HgJDBlhTjItk8w4WrzPKUZKh5a3l5bCHy23xz7FzG\nUkdJzLqgy8OUP1O/3/jES8HuSQz4jG3BeaeNmNm2smsrM9fPf2ebZ9gNUIUkT2hCJPqGeuhcx1Lk\ngyrTIFy0GbXN2BpRWaqK7vsUiVBo3T5jk++1Ki917FXZregqMhxP8Kke6OL/VNsM5UPtdtMv9rLE\nvPXeRfJxy125m9MnAYNSoUREX8q+f5yILgzRb7JkmOfHSjV6OR6gaoMhiGxo2z5tOyb7PDYNrulN\nLucVWQ43X93rNI4qYFgqdAE6m0PPBPDbAFaF6DtZMhQzqkp+KZpC4wWqNlikgdqY0UUmsW9ajM3k\nqTvWdvIVxKUjMFctMbZ2mdiEU1oqNHu/hjt4GMCpWYkRLyRLhgKpkJ/8UITUTqtOhq4qZzOVVCRZ\nfsrum07WiuRP154grlgEFsMySiEPU4JJqVDbcqJGSJ4MZdRpIssPRUiCtnloQhBZKiRVB0JPrHVM\n1HKfPhNpXSt0DKrj1QbfusmVIqbw6aJyZdvfV1VXRKAOInPZuy+1nb1DQJfSYhvJDS0v6nhs0ndi\nr9BZ+J7/pP/iPQvQcfl1MPC3Ywo1m5QKNSonaovkyTD0xqU2ApwnJIIkdW1VTZBFsNkzMeSOznlt\nFVV4yyN6m9+wafUaTOrrD34PhocPYFJfv9OEqbajQ4jxppxjaYntAGZmFTSfQ6fy5seVY+4HMEBE\n9wCYC+AYMx/27bgxSdc+NztkLtaxHZtHlcCsUnsMmXS9bGBlpVXe1MJIobXHsrW/w8MHRt0LVZ7U\nSTdm/l7I0ghlykJdSdeDW8wmsIH5M8b0R0QLAdwBYAKArzHzraJMKDN/hYgIwCCAywH8O4DfZGbv\ncqGNIUPSjes/AAAfKklEQVQXhBRoGw1Ad2wIUgxFhjZaoEmVQJ9KgrN6JgYx00JshJBSArOJvJQp\nCOuWzim8tkLrlrXvFMiwLjQqgGKK4eEDwQXbpmKc7tgUHrT5U6dYm8NHtw/mficqA/pomLsOHTca\nU+woeIz7o6tAaAoTGS4iwk2r12Dy7IHC80OlL3ULuo4MUyCdPMQgaVOSmD91SmGB9LzvikpdhjSz\nZULURTdjBY9i3BOBECVXXcd28TVXVp6p0HQ0kgzzUmxiEuGxHZudvtNBHqdteoRLXQ1BNEXEZlvf\ntwhFpFsEMc68VSkqfFNCyuTFR7MLiSom+PGcciXQGDIs20MvtsDIQROb7/Igxps3e+tIcuMTL43Z\nzqnMVxaz7q+NNmlKkDIhlsEmyqzCRF6mX7s2SnaA7eQJpG3xdAsaQ4ZF/hEfQYk9+7sIPqAnSTmA\nIoigKKgSuwC6jTZpc2zocfukZsUgIZfJE2gJMTaSzzMsg6+AyH4dG+IyFeii49R0Dx/ELEZuY/ba\nkJ6ablMVQpFKDHkpQ57MhMjHjT15po7Gk2Ee1HzAouNc25fhM9uHIESVCH0F29XvJ59XRnRF38+f\nOiXJlSwh5CUUMcqIvZnDeEBjzGQdimb4MoE7tmOzs2DntVeGVBzyRZjVM9GZCGVMnj0QrK2QcNUK\nQ8qLb1s+a5LzfMxl2QbjAY0mwyLkCVuRIBbl1Pn0KRAi1cIELlphaOKSr6Xctk0fqZhttsRlqvm5\nkqKPZqn6mJcNrBwJxtXhskgJXUuGOoEpE7yyJFUdVAJ1EfCQjnHTdBORMA24m8S2qMtHKFDVdmm2\n9z+khWKL2wdvbJOuMzSWDE0IRDZLYwlcHoFWKeAyAQrBlsmuCD5E6DJ51GmKTerrt3JVhHallPVl\nAyH/Iba1S0UDrxuNJEPTGX76tWtx89W9tc68VUCe2YVgl60O2bp+hTcxuboV6jSVTV0VdciMS59d\nslNNEmgkGTZlmZGNcI/XHDJTDRbwu5c217fOybPbJ+6U4UWGRHQqEa0lol1E9DQRzSOitxPRd4no\nmezvZOn45VlFq91EdJn/8O3hEyRxOTeWcPuSfN2RQ9G/rMGWjamKJWNNIqPxOIEW8Yt0zFQi+nsi\neoqIdhLRDSZt+2qGXwTwADPPAvDLAJ4GcBOAh5h5JoCHsvfIKlwtAfBudPYh+3JWCcsapkKgE2wX\nP5fu3Bh5XTb+H5kYumWRvW9wpep6Mr7Im1yrJOQG+gu1/KLgdQA3MvO5AC4CcJ2mwt4YOJMhEU0C\n8H4AdwIAM7/KzD9Cp3LV3dlhdwP4SPb/IgD3MPNPmHkfgL3oVMLSIvWSoGUPnizopsIt/D+6tsX1\n0OWJ2WpMdWuFArbrlcuQeuKxmuGQNzHHSMoGkquC54o8fhkBMx9m5kez/4+jo6SVFozy0QxnAHgJ\nwNeJ6AdENEREbwVwurQF9/MATs/+t6poZeoYTtWs8dFAdQ+1uB7yJKFqhII0bPxwTUbohzukLOm0\nPtP2Y0WxuySFJo9ftCCi6QAuAFC6W7QPGZ4A4EIAq5j5AgD/BkVl5c422tG20hZL7nSC45NY7Zt8\nHROyQOdphCH3GYwdrbTVUtU0IhdC1KXXhCYf18kwZdmrCkT0PSJ6UvMaVT+5jF+I6G0A1gH4NDP/\nuKxfn7XJzwJ4lpkF465FhwxfIKIzmPlwVtj5xex7q4pWe77zRhnBd5x9Id5xdu+YY4Q5YWNWmAip\nj1aXB5O10iE3bhBQt+RX1w6XkVFq7gpVu3HRdnTpNXmTatUQsnd0+2AlK5Z2bP1H7Hj4H6P3I7Dn\n0YfxzA8eLjyGmS/N+46I8vhFPe5EdIjwm8x8n8nYnMmQmZ8nooNEdA4z7wZwCYCnstdVAG7L/q7P\nTrkfwF8T0RcA9ACYCSBX7Tj7w7/lOrTacXT7YBRCdUGRlmiqlU2ePdAYjUVXF8Qk4JYCEcqYPHsg\nmu8QeKMiYd+896Fv3vtGPl99x23R+gSAsy+8CGdfeNHI+41f/6JtE/dDzy8jyApG3QngaWb+gmnD\nvtHk6wF8k4geB3A+gD/JBvlBInoGwKXZezDzTgD3okOWDwC4jpl/6tl/kkiFCEOhKUQIjDXrU9Ns\nY8Aliq66WBrkZ9byCxH1ENGG7Jj3AvgEgIuJ6LHstbCsYS8yZObHmLmPmX+JmT/CzEeZ+WVmvoSZ\nZzLzpcz8inT8rcz8i8x8DjNvLGq7yUJcF3nE2vLKlNxDTgJCa5UfUpcUIkGOTdgxSIWptloWRTfx\nq1ZZNtYHefzCzIeYeWH2/xZmpoyXzs9eG4pbTngFio/jvm6TpyqzMi+abIsyEjP9LSF/s8g5lB9S\nn6TrqnYMShGqX7Vb8lJDI1kybDpimcqyIIdakdEUM9j3ITYJTh3dPtiY6+GKtviTHi0ZWqJuQer2\nB7UI8rUvMv1sqice27F5lAk9efZAsj7fm68em1HRIhy6kgxjR+F84eO/ck2cbZCDXAv1uhddB52L\nJW87t0l9/Y0xoW+5a1j7uesyRHVCabqM+KKRZFi3T9AXdTx8VTrIY2hWRRq5yQQlX/OYk6WMqrR4\n12WI6oQynq0OIHEyzJvxqhLmpiC1NadVP1R1uy7y4DspVCHncgZCu+1/wkh94X0qiLXmtOrVOsJM\nC72RhEngZLxMsKEyELoRSZMh0LxtmfLQxIfNdh23j2YhLxusS0OR71HTTUa18JNAqlp0CkieDFPS\nDmM/IKHXJevgQjSm2p+LRqfLJwwN0wR+2RddR0Q5pHzllQRtkY/kydAVMTSxFFMuZH9hrBUoTdeS\nbBL4xW+t4zfL8mUrv64rtsZ7BFlGI8jQ1FR2jTLHEHxZo41pIuf5C7tJyGORvIpJff0jhBRz4osh\nb64rtpqyDK8KNIIMVVM5z5xUSceUhGIIfhmBx14rWyTksXxyttexat9gFW4IE8SQt9TW8s+f+g6j\nV0poBBnGQEwzSG47j5Cbkuhrg9TNaZOtvFIIdJmOQSZ3V82wKq27CWgUGbrMfnmCFdMMciksX1Ui\nuQhy1J1T5tq/6wogQRypJ+zXScZNcK2YVMeTjp2QlST5jknbjSJD19mvLgGzMdtDRc2LZvp5i5aP\nIqEiQiqaLHxLAfgQsZoaYhM13b9qsZEspKAd1oGG+A9NquMJ3IBOMSgjNIoMZdj6fyb19Ucx4/La\nTO2BmtUzUSvsecRUdK18/FO2RFhmxuXl0+l8tjauidj3T9d+iD7le9MtOboKSqvjAQARnQXgQwCG\nTBtuLBmaQCbM/asWR/HT6TQoVahT2Fi0iISqCqhUaZrrNG2b+2BSs8YHqrlu21eeMiBr7abWRsP8\nhqbV8e4A8BkAPzNtuFFkaKuRyA5zQYR1zPg6EpYfzNBRThfhjk1UdfsoATvzXi42FlNmQrRf9lw0\nbTNX3+p4RPRhAC8ys36bn7x+O+2lBSLihatKy5wCMIsQ5iGkMz1PoE00DFMyzDMJdfBZc6pbSeK6\ne7cPCdqQuqnvMJS8+FbT08nEzVf34pa7hktlxmbytJEZALh+/jvBzGR1kgIi4sf+RV+Zc7tSjW/1\nHbdZ9UdEuwH0S9XxNjPzOcoxK9CpgfI6gDcDOAXAfcx8RWHbTSJD18pnZZCF2qaynSqwQpjLTHL5\n+5iC7bsI32fDhBCaYAwyBNxlRr5vrkToowUKkowlM/OnTsEFv3BKVDJUcb5lf0R0O4CXmfk2IroJ\nwNuZ+TMFx/cD+J/M/OHStptEhnkwEe4igsqbiVVNwOZcgd7eaYXji02Gat3kEFBrL4fEloNHMH/q\nFGtTvwoyNIGQGVUmyuTAFLYuldQ0QxUOZPgOdKpsTgPwLwB+nZlfIaIeAEOiKJR0fD8MybBRPkNT\n7F+1eIyzvEhTyyMz4c8pMolMCsPnwdVXaOoD2nLwiDER2uSY7Tp0fOQVGjoiDL1fo4+PVicHsrzl\n+QBjErAvmuRTNKmOpxy/2YQIgS7RDAEzYQs1O/vg2I7NOLp90ClXz3aWF2jannUuASCXXVqqlIU8\njdEGKolvWr2mNGLcbZphTHSNZlg22+9ftdha+G1TYkxWmEzq6/dOWraFTC6hN07V4bMbjPNcx6DK\nNI8q1yqrGqOtbOnGmtL2dt2AriFDoCMweQJelmOoIzLbvMSiWV98F/oBtDGZAb2PLzRB3rrwXdbn\nbDl4xJsIXZLB1ftR1XI9G9lKZYOJbkdXkaGAyzrUMvMlxEMSQ6htdi7OI5s6cgDlscj/+/gHXTVu\neRJNabOJosk9BFKrnVM3upIMgY4guZoROhPG18QxFerYWzEJDays3kjsRfsiUKIS9NC2fbU9pL29\n0yp3YeSNQycvoZfXxaqd01Q0PoCyafUa44BElQ7zGDO6awClDFUGWGL5BGNsc+8iLz7LPnt7p43k\n0poER0xgIjNyBH88B1AaT4YqbIRIFnZTIc47rgq/TgwyFD7H2wdvxNK5MzC0bV8uOc7qmRh8o4VQ\n0JGhC6EUkVEZOdqsZ44pL/LY22iyObqODFPD8PCBMYJ/68J3OUVcVcFeNrASR7cPFpo7G594SftA\niITsKqulLRtYqe1PkLAt5PNcNEPdiqYUIFwl8tjyxlr2G1oyNEdLhgrytIlQZosPYmiGtkTkQlym\n56hkadNXqtXg6ibclgzN0bUBFFfkEZ4JEaa8f1xeUMKW2GyPXzaw0vgcVWuM7eCv4n6lqHm20KMl\nw4Bw0RyrItC6IochzHBdLqXQBH2Wktner5Qnuxb+aMnQAyHSYOo2vYvgSjQ6LdQnXUZHqML8i+Hz\nzDMtU71XqVXGayoaQ4Yp3vAQJlDK2oYr0ei00Lo0U5fra+N/jC2XJuP3lcMmbdQQE40hw1i+l7rJ\nKKUVD1VB1hLzNEZTTbLsOJ02F5LAYvsEq9BGq8woSBleZEhEv0dEO7Mtub9FRG8uKuVHRMuJaC8R\n7Saiy0z6iJVoLFA3GcV8mOqc8Yv6lrXEPI3RVJN00TjboEZzYVoqlIhOJaK1RLSLiJ4monmlbbum\n1hDRmQC2ADiXmf+DiO4FsAHAuQBekXainczMv09E5wL4FoA5AHoAfA/A2cz8U03b/Bdbfug0rpRQ\nlhqSl3eXh1TTR3wRIm3JZ9J0zXMUyMvlTAF5MpN3zTdcOzfp1Boi+jNo+EVz3N0A/pGZh4joJABv\nYeYfFbXtayafAOBkIjoBwFsAHEJ+Kb9FAO5h5p8w8z4Ae9EhxmShaje2mlbZA2ZrnlRt0tuak67m\nZyxT0PR++fozUyXCIohrnqIvvgSlpUKJaBKA9wO4EwCY+dUyIgQ8yJCZnwPw5wAOADgM4Bgz/x3y\nS/mdCeCg1MSz2WfBEGqBv7xETcbtgzc6aWeuGp36MPuQhguR2pqTecfbPnChSL9osummoIGPxdBA\nl4FJqdAZAF4C8HUi+gERDRHRW8sa9jGTJwNYB+C/AvgRgG8DWAtgkJlPlY47ysyTiWgQwMPM/I3s\n8zsBbGTmMQt9iYgX/Obvjrx/5dRZuOKjlzuNs5vQrWZyCMjama37oQqYmOIxxl0mMy/vGcbLex4d\neb/3b4dqr45HRN8D8POa0z8L4G4dvyjn9wF4GMB7mXkbEX0RwI+Z+Q8Kx+1Bhh8DcDkzfzJ7fyWA\niwBcAk0pPyJaDgDMvCI7/kEAn2PmrZq2vX2GsmCl+HC4QCfYpsu9Fpx3WleTad2maqp+Q/mem8hK\nA3yGJqVCfx4dxWt69v59AG5i5g8Vte3jMzwA4CIiegsRETok+DSA+wFclR1zFYD12f/3A1hCRG8i\nohkAZgKIpqPL5FdGhHWZTCHMelMzp1uI0MTkruN++hKhPOZY42+gSaxDHr+MgJmfB3CQiARJXgLg\nqbKGfXyG29Axix8F8ETW1l8BuA3AB4noGQCXZu/BzDvRKfH3FIAHAFyniyTXAVOtMbSQlplNTScw\nU1+helzReSYPdN1WgIuc5E3e7W7UY6DlFyLqIaIN0nHXA/gmET0O4HwAf1LWcLK71tSdWqPu6Wez\nL18ss9yUHGPvsKPu65dCjQ5ZM/NNldHBpE0TmVHbiTFWGbYTaupmckw0igxDCY7pzs62m5nG3sjU\ntRymDVm57gZetLFpUze+lZEnM/MWLTeuTa1iVs/E6MsUWzI0xwl1D8AGoj6GiwC5bG1vu6vzsoGV\nox4ME82gCCHIv4yIQpVCKNrhuUiTLNNi6wr86ORFR3yuRKjrp8oyqS3GojFrkwVsyGH+1Ckjryqg\nPhiib9nvYzP+mFrD8PABLyK0LYqV13ceEYpcw7wIug+KfHpF8qLeX5eiWfI56mRbtby2GI1kzeT/\neI29NChbgcoziYU2YGsy67QI35m/TEMySZ2osiiWKUKY0TZmcgh5CYUyuYotMypCmcn/8ZoZr5x8\nIiVjJierGbpqUK4zqxBIdbYXhGZrMuvMp9gPXBER+mqCJnCpLb1/1WKjsfmsSlE1wVSIECiXK5Ox\nddNqmjqRLBm6IIRQl/n8BGxNJHF8HQ9eVdqgaWU4GXKlwaJxmkTH80ihKLKv3o/Q9aK3HDwyqjZ1\nXp3qIshj1P3GvN8n3DN1b1PXFCRrJtum1tRBMi6lM+VzbX2CrtFkGT51fauCi9msmskuqTChIeQj\nT05M5Ed2t5SZzLrf3JrJ5ugKzTCkUNvM3K5EaHpujCiqTIQp5AfqEEKTrZsIgTfucd69zvtc1k5l\nS6VszHXtJt4t6AoytEWZKTSrZ+IIKYr/5c9CoUy41URiGarpoyOQMlKxJZ1jOzbnvmToIs3Hdmz2\nikDLv9fX7FOvu+99VWXER2Zs8hZNfIWtiWyOxpvJvjO874Pgox0CdtFCG00xhHblEhARkP2HRQnZ\nRdBprnl5iTbR5JRkxsXVElNmXhj6WGsmp4pYazNDaXq+7Zg+mFVGDHXanmsbLkRY1LfvMkMfIowh\nMzZEKM6JYeKnmHJVNZIlQ0GCRX4QV6EIbe6KNmO0K2Cz1nl4+IATmYUgwbx2bSDI0/cBDTWBxLq3\ntu3KxNlu4BAeyZKhWHoXErEJS/RhixgzfUhtLARkoi3yHdr4Fcv8YeoEUnadhS9Z9inHlJfJswec\n+zANltis1vHx6XYDkiVDIKxWGJsE8/oKnbcWwyEemwhV/2FRao/4zuTBDL0zjwhciL+zeiaOEFYM\nyJUZdfJZJLOm8m+y5ZnQwFNPuQKsquONqdxZ1nbSZBgKpkQYUvBFn74L+VWUEYBLhDg2XPoQD2Zd\n0VBx//JKye46dDw4Uapy6huc61LcBOAhZp4J4KHs/ShklTt/F0AfM78HwAQAS8oabiwZzuqZ6KR1\nFQlw6BrKNtpo3ky/bGBlNP9QEUnFrCdtQ44uUWhfmNy3WT0Tna+RK4m6yHsDq9+VobQ6XgZd5c5C\nNJYMdx06PqJ1FQmJKthVF43XPVg2Qn374I1RkmnLCCn2pOGjkbpoi7GSrF2Irej65RHxrJ6JTlZG\nl2z1L6O0Ol5B5c5CNGo/QwFVsPOEpEo/YRnkfLLQpnPVCGkeuqTe2PgK50+dMpLIbJLQbCszMSZX\nXe6hzmSeP3WK9642VafUfP8fNuP7/7C58JiS6ngjYGYmojEJjZkfcRE6JUN/BODbRHSFqMyZh0aS\nYRMg1qTK710Remv4KvyEJjAlQtvdumVsOXhkJKrc9EkoNvavWoyTh+L28f4P9OP9H+gfeX/r5/94\nzDHMfGne+UT0AhGdIVXHe1Fz2KUA9jHzS9k59wH4FQCFZNhYMzl1+O5U4rIhbMxZPqQGFLM+iw9S\nsiTyEHOMTYgmw6A6HvIrdxaia8lQFZqYKRIxUESAdTjFQ16/dr1sOfJIr40wl1fHK6jcWYiuJUMV\nMXw7PgShE/aQuWN5UE3kqgNKKmKb7D6rUEJPoE2bkFMEM7/MzJcw80xmvpSZX8k+P8TMC6Xj/oiZ\nZzHze5j5E8z8k7K2xw0ZxsDR7YPGAq5GkG1meNvUGhuCqfMBLfMXhiDK2wdvLJ1k8lYmhZ4ofNor\nMo/bna7DIHkyTP1Gmwq47jjTFBvb4EkduXkuKCO7qn5HE0zPojGqyw7bdctuSJ4MxY2u+wbH0KBC\nRzdvvrq39Ji6zeJuQQh5KGvDNViimzxNtjhLJcugLiRPhkBHO7TRjmJE3JpAIrfcNVx6jO4BbIom\nWYYqJ8wQ8uDShutad5N9DbtFDlzRCDK02b6qhT3qWpYXGqFX6qQY8MizJlJ3JzUBjSDDFmHgYgal\nSAgxIfvmmjQR2LiT2tQmPRpHhkvnzgi+LVbTYZp3WGQGNenBDwWdHKWUeG0yERXVhM4jxlST3utG\n48hwaNu+0sBDHdHBOjWoEIvxx4MGqBJd6svzTCaoIhdSntugC3eyCYJkyVA3q9UdUS7CeNSsQsEk\nCh4CYpJsimUhxhtaW+3CnWyCIFky1M1qbV3YOKiDyOU+dVHwoo0ZfMuGxtAIYxJME/IguwHJkmG3\nwUSgfbdjErANlKRoIhdtOlHm81ItiC0Hj5Rqg76E05qezUdLhgnAxgwyeeiKAiWp5JIJAi4aj2sd\nFJ0FoWqDKQVKQqJNsXFH15JhFaaFrUYVYicSU3PMdf+/KlFmnsfcUqpK01OWE1OZKRtfniz55OQ2\nQWZiomvJsAqY+tqEYJcJuO+sLgtziL0NbX2JtsenZp7HIkj5uoTyz4Ycqyjj2oRC8kT0sazq3c+I\nqK/guMuJaDcR7SWiMUWjdCglQyL6GhG9SERPSp/llusjouXZAHYT0WXS571E9ET23ZeyTRe7AmXb\nmJuiqpU2k/r68dPjz5UeZ0tWtsebmuyC5F/eU77c0BRVmMkmclHnhCCCT5P6+pNxnxjgSQD/BcD3\n8w4gogkA/hLAAgDnAvgNIjq3rGETzfAuAJcrn2nL9WUdLgHw7uycL2cDA4BVAH4LwMzspbZpDNNA\nQ1WmUCgyNIXJovsiHNuxGT/713IyTA0v73nUuw1BglXIholc6DRF07G5BtyE3/nia65snGnMzE8z\n8+6Sw+YA2MvMP2TmVwHcg05NlEKUkiEzfx/AK8rHeeX6FgG4h5l/wsz7AOwFMCerVXAKMz/MzAxg\nDfJL/AVFnmCFnpHz+onx0Jksui/CpL5+vLln+qjPqk6vqVoTEcRRdj/GQxrLOMgzPBPAQen9s9ln\nhXD1GeaV68sbxJnZ/1aDE4iRbO3y8BcRqM7skh8s+XtdmkeotJoyyGk3MiFVaa65EKGvNmyDOglx\nPJBxGYjoe0T0pOZVqt15gZlLXwCmA3hSev8j5fuj2d9BAFdIn98JYDGAPgDfkz5/H4DvFPTH7at9\nta96XiacUMIX+y36e96xj80A+nK+mwfgQen9cgDLy9p0LRWaV67vOQBTpePOyj57Lvtf/VwLZu6a\n4EqLFuMNzDy95iFsBzCTiGagwzNLAHy87CRXMzmvXN/9AJYQ0ZuygcwE8EhmUv+YiC7KoshXQl/i\nr0WLFi1yQUS/RkTPoqP9/S0RPZh9LlfHex3AAIAH0SkRei8z7yxtO1Mjizr/FoB+AFMAvADgjwD8\nDYB7AUwD8C8Afl1UqSKizwL47wBeB/BpZt6Yfd6HTmT6ZAAbAVzPZZ23aNGiRVXw9Q+EfKGTbrMb\nnSj0TXWPRxrXVAB/D+ApADsB3JB9/nYA3wXwTPZ3suKn2Jv9nstqGvcEAD9A5p9twHhPRafe7S50\nZvR5KY8ZwO9l8vAkgG8BeHNq4wXwNXTcWLLP33qMAHrRqUG8F8CXkClS3fSqfQDSxZ4A4J8BvBPA\nSQD+L4Bz6x5XNrYzAFyY/T8RwB50kjn/TJA2OrmWf5r9f242/jcBmJH9rgk1jPt/APhriQxTH+/d\nAJZm/5+UkWOSY0YnG2IfgJOz9/cCuDq18QJ4P4ALFTK0HiOARwBcBIDQsewWVC0fsV8pLcdzSpSs\nAsx8mJkfzf4/jo7WciYs8y2rHDMRnQXgQwCGpI9THu8kdB7cOwGAmV9l5h+lPGYAJwA4mYhOAPAW\nAIdSGy83PE+4SqREhk6JklWDiKYDuADANtjnW1aJOwB8BsDPpM9SHu8MAC8B+DoR/YCIhojorUh0\nzMz8HIA/B3AAwGEAx5j575DoeBVUmifcFKREhsmDiN4GYB06gaEfy99lM2YSASEi+jCAF5k5dzFv\nSuPNcAI65twqZr4AwL8hW+YpkNKYs/X4i9Ah8R4AbyWiK+RjUhpvHpowxqqQEhnm5SgmASI6ER0i\n/CYz35d9/EJmQsAw37IqvBfArxLRfnTcDRcT0TeQ7niBjrbxLDNvy96vRYccUx3zpQD2MfNLzPwa\ngPsA/ErC45VhO0arPOGmIiUyHEmUJKKT0EmUvL/mMQEAstzIOwE8zcxfkL6yyresarzMvJyZz+JO\n8usSAJuY+YpUx5uN+XkAB4nonOyjS9CJ3qc65gMALiKit2TycQk6vuRUxyujzRPWoe4IjvwCsBCd\nSO0/A/hs3eORxjUfHVPicQCPZa+FAN6Bzq49zwD4HoC3S+d8Nvsdu1Fj5A2dHFERTU56vADOB7Aj\nu85/A2ByymMG8MfopAE9CeB/oxOFTWq86KT8HAbwGjra9yddxojOktons+8G0YWpNaVJ1y1atGgx\nHpCSmdyiRYsWtaElwxYtWrRAS4YtWrRoAaAlwxYtWrQA0JJhixYtWgBoybBFixYtALRk2KJFixYA\nWjJs0aJFCwDA/wdHg4IMp8vexQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa207769278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(I, cmap=plt.cm.get_cmap('Blues', 6))\n",
    "plt.colorbar()\n",
    "plt.clim(-1, 1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The discrete version of a colormap can be used just like any other colormap."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Handwritten Digits\n",
    "\n",
    "For an example of where this might be useful, let's look at an interesting visualization of some hand written digits data.\n",
    "This data is included in Scikit-Learn, and consists of nearly 2,000 $8 \\times 8$ thumbnails showing various hand-written digits.\n",
    "\n",
    "For now, let's start by downloading the digits data and visualizing several of the example images with ``plt.imshow()``:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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r3mKj9n66wmyuNmI81lUSDAY1/c22Owd0qaxiPnd2djTTwpbpLwq6Nu/XCvyT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Gzaa29vTwqFgmQyGYlGowpkq7yvLkZYeiXvi8UIJkGfnJxIPp+XRCIh4XB44XX66umGQiHt9IFG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\nPqLHQVoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa23581be10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load images of the digits 0 through 5 and visualize several of them\n",
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits(n_class=6)\n",
    "\n",
    "fig, ax = plt.subplots(8, 8, figsize=(6, 6))\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(digits.images[i], cmap='binary')\n",
    "    axi.set(xticks=[], yticks=[])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because each digit is defined by the hue of its 64 pixels, we can consider each digit to be a point lying in 64-dimensional space: each dimension represents the brightness of one pixel.\n",
    "But visualizing relationships in such high-dimensional spaces can be extremely difficult.\n",
    "One way to approach this is to use a *dimensionality reduction* technique such as manifold learning to reduce the dimensionality of the data while maintaining the relationships of interest.\n",
    "Dimensionality reduction is an example of unsupervised machine learning, and we will discuss it in more detail in [What Is Machine Learning?](05.01-What-Is-Machine-Learning.ipynb).\n",
    "\n",
    "Deferring the discussion of these details, let's take a look at a two-dimensional manifold learning projection of this digits data (see [In-Depth: Manifold Learning](05.10-Manifold-Learning.ipynb) for details):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# project the digits into 2 dimensions using IsoMap\n",
    "from sklearn.manifold import Isomap\n",
    "iso = Isomap(n_components=2)\n",
    "projection = iso.fit_transform(digits.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll use our discrete colormap to view the results, setting the ``ticks`` and ``clim`` to improve the aesthetics of the resulting colorbar:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XJvE0d6ANmywaDAZm3nkjIS2JxWiixJFPfXEpEsmcCXWAwGm1UWC1Y9DpsamC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M5IeQshrgXuBOYBq6WU24dtuw34DJACbpJSvpRpX4FWLcIKvAjcPNVtI53d3fzssWcIRaOYdPDI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\niTZTfJBhXhTASrQHp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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa1eef1ee80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the results\n",
    "plt.scatter(projection[:, 0], projection[:, 1], lw=0.1,\n",
    "            c=digits.target, cmap=plt.cm.get_cmap('cubehelix', 6))\n",
    "plt.colorbar(ticks=range(6), label='digit value')\n",
    "plt.clim(-0.5, 5.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The projection also gives us some interesting insights on the relationships within the dataset: for example, the ranges of 5 and 3 nearly overlap in this projection, indicating that some hand written fives and threes are difficult to distinguish, and therefore more likely to be confused by an automated classification algorithm.\n",
    "Other values, like 0 and 1, are more distantly separated, and therefore much less likely to be confused.\n",
    "This observation agrees with our intuition, because 5 and 3 look much more similar than do 0 and 1.\n",
    "\n",
    "We'll return to manifold learning and to digit classification in [Chapter 5](05.00-Machine-Learning.ipynb)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Customizing Plot Legends](04.06-Customizing-Legends.ipynb) | [Contents](Index.ipynb) | [Multiple Subplots](04.08-Multiple-Subplots.ipynb) >"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
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